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arXiv · 2210.07001

Soliton crystals in optical Kerr microresonators in the presence of thermo-optic effects

B. Azah Bei Cho·I. Ndifon Ngek·Alain M. Dikande
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Abstract

The influence of thermo-optic effects on shape profiles of soliton crystals in optical Kerr microresonators is investigated. The study rests on a model that consists of the Lugiato-Lefever equation, coupled to the one-dimensional heat diffusion equation with a source term proportional to the average power of the optical field. Using appropriate variable changes the model equations are transformed into a set of coupled first-order nonlinear ordinary differential equations. These equations are solved numerically with emphasis on the influence of thermo-optic effects on the amplitude and instantaneous frequency of the optical field, as well as on the temperature profile in the microresonator cavity. It is found that thermo-optic effects do not prevent soliton crytals from forming in optical Kerr microresonators, however, a strong thermal detuning will decrease the soliton-crystal amplitude. The model predicts a temperature profile in the microresonator cavity which is insensitive to the specific spatio-temporal profile of the soliton crystal propagating in the microresonator, a feature peculiar to the model.

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B. Azah Bei Cho, I. Ndifon Ngek, Alain M. Dikande. 2022-10-13. Soliton crystals in optical Kerr microresonators in the presence of thermo-optic effects. https://doi.org/10.1088/2040-8986%2Fac97a7

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